The first two meetings this semester are largely devoted to
zeta functions in order to prepare for the meeting on Sep 17.
In four lectures Daqing Wan will give a reasonably self-contained introduction to the proof of Dwork's conjecture, at the level of "linear algebra and calculus" over "p-adic power series rings". The general theme of these lectures is geometric and arithmetic variation of zeta functions over finite fields.
René Schoof, Bart de Smit and Hendrik Lenstra will give three lectures to review basic properties and examples of zeta functions in an arithmetic setting.
|Aug 31||Mathematisch Instituut Utrecht, Room K11 (map/route)|
|11:00-11:50||René Schoof, Zeta functions I|
|12:10-13:00||Daqing Wan, Introduction to Dwork's Conjecture I|
|14:00-14:50||Daqing Wan, Introduction to Dwork's Conjecture II|
|15:00-15:50|| Gunther Cornelissen,
Diangle groups and their deformations
Abstract: Triangle groups are a well known object in the theory of Riemann surfaces. This talk is about the fact that "diangle groups" exist in the theory of non-archimedean uniformization of curves in positive characteristic, how to classify them and use them to determine automorphism groups of Mumford curves (analogue of Hurwitz's bound) and equivariant deformation spaces of such curves.
Mathematisch Instituut Leiden,
Peter Stevenhagen will give his inaugural lecture at 4 PM in the Academiegebouw (Rapenburg 73).
|10:00-10:50||Bart de Smit, Zeta functions II|
|11:10-12:00||Hendrik Lenstra, Zeta functions III|
|13:00-13:50||Daqing Wan, Introduction to Dwork's Conjecture III|
|14:10-15:00||Daqing Wan, Introduction to Dwork's Conjecture IV|
|11:30-12:20||Roland Auer, Legendre elliptic curves over finite fields|
|13:20-15:10||Marius van der Put, A description of the universal differential Galois group|
|15:30-16:20||Gert-Jan van der Heiden, A Weil pairing for Drinfeld modules|
|11:00-12:00||Hendrik Lenstra, Construction of the Witt ring|
Generalized Witt Vectors from Profinite Groups I
|14:30-15:30||Jesse Elliott, Generalized Witt Vectors from Profinite Groups II|
|16:00-17:00||Hendrik Lenstra, Witt rings and zeta functions|
November 9, Amsterdam (UvA), Room P017.
|11:00-12:00||Gerard van der Geer, Counting curves over finite fields and Siegel modular forms|
|12:15-13:15||A. Biró (Budapest) On the class number one problem for special real quadratic fields|
|14:30-16:30||Harm Voskuil, Mumford curves, discontinuous groups and coverings of the projective line|
Preparatory meeting for the workshop Anabelian geometry
|11:00-13:00||Hendrik Lenstra, Introduction to the algebraic fundamental group|
|14:00-16:00||Ben Moonen, Introduction to p-adic Hodge theory|